{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1f555f7d-29e9-4077-88e6-31be1f61508c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 引入合适的库\n",
    "import matplotlib.pyplot as plt\n",
    "import cv2 as cv\n",
    "import numpy as np\n",
    "\n",
    "img = cv.imread('x_ray.jpg', 0)  # 读取x_ray.jpg灰度图\n",
    "\n",
    "######################## 1.极小极大值归一 ###########################\n",
    "\n",
    "img_max = img.max()  # 获取图像最大值\n",
    "img_min = img.min()  # 获取图像最小值\n",
    "img_minmax_equalize_hist = (img - img_min) / (img_max - img_min)  # 极小极大值归一\n",
    "\n",
    "######################## 2. 全局直方图均衡 ###########################\n",
    "hist, _ = np.histogram(img.flatten(), 256, [0, 256])  # 获得img的直方图(分256个区间)\n",
    "cdf = hist.cumsum()  # 获得hist对应的累积直方图，cdf是cumulative density function 是 cumulative frequency histogram的另一个常见名称\n",
    "cdf = (cdf - cdf.min()) / (cdf.max() - cdf.min())  # 把累积直方图进行极小极大值归一获得累积频率直方图\n",
    "img_equalize_hist = cdf[img]  # 通过累积频率直方图对img进行全局直方图均衡\n",
    "\n",
    "######################## 3.log变换 ###########################\n",
    "img = img.astype(np.float64)  # 需要把ubyte转成浮点数np.float类型以便进行log操作\n",
    "c = 255 / np.log(img.max() + 1)  # 得到c\n",
    "img_log = c * (np.log(img + 1))  # log变换\n",
    "\n",
    "fg, ax = plt.subplots(2, 4, figsize=(16, 4))\n",
    "# 用完整的数据范围打印图像及其直方图\n",
    "ax[0, 0].imshow(img, cmap='gray', vmin=0, vmax=255)\n",
    "ax[0, 0].set_title('original')\n",
    "ax[1, 0].hist(img.ravel(), bins=256, range=[0, 255])\n",
    "# 最小最大值归一\n",
    "ax[0, 1].imshow(img_minmax_equalize_hist, cmap='gray', vmin=0, vmax=1)\n",
    "ax[0, 1].set_title('min-max normalized image')\n",
    "ax[1, 1].hist(img_minmax_equalize_hist.ravel(), bins=256, range=[0, 1])\n",
    "# 全局直返图均衡\n",
    "ax[0, 2].imshow(img_equalize_hist, cmap='gray')\n",
    "ax[0, 2].set_title('global equalization')\n",
    "ax[1, 2].hist(img_equalize_hist.ravel(), bins=256)\n",
    "# 对数变换\n",
    "ax[0, 3].imshow(img_log, cmap='gray')\n",
    "ax[0, 3].set_title('log')\n",
    "ax[1, 3].hist(img_log.ravel(), bins=256)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"out.png\")\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
